POWER of the POWERS
(with regard to the well-known history…)
64-1, wich we can round up to 264.
How many grains of rice can go in a Chessboard, if we place one grain in the first square, two in the second, four in the third and so on ?
The exact formula is 2
We can then make the following calculations:
Rice grains on the chessboard = 264
rounded up (to) 1,85*1019
If we agree
that 1 grain = 0,1 g = 10-4
kg. = 10-7
the total Weight would be
W = 1,85*1019*10-7 = 1,85*1012 T. = 1,85 millions of millions of tons.
If we fix its
value to a dollar by kg., its total value
= 1,85 millions of billions of dollar! ( for 1 billion = 109 units )
we agree that 1 kg of rice = 1 liter = 1 dm3,
the total volume would be 1,85*1012 m3 =1,85 millions of millions of m3.
If this volume were
distributed on a square of m. 1.85 height,
their dimensions would be of 1000*1000 km.
If the rice layer had
a height of mm 18,5,
their dimensions would be of 10.000*10.000 km = 100 million of km2.
If the rice layer had a height of mm 3.7, the same one would be sufficient to cover the whole terrestrial surface, sea including.
If we had to use that rice to feed to us, each inhabitant of our planet would have 264 tons, and all the humanity could feed itself during thousand years.
Calculating in 5 mm the length of each grain, the grains of a board, placed one behind the other, would have a length of 9,25*1019 mm = 92,500 millions of millions km, that is near 10 light-years, a length more than sufficient to cover the distance Earth - a Centauri and return !
And finally, if we decided to
count one by one the grains of rice with a speed of one grain per second,
the necessary time would be of more than 53 billions of years, 4 times the
age of the universe !